The floor curves up at the front, as was introduced to F1 last year. Note where the front lip of the floor intersects the safety cell. If the top of the floor is anything to go by, the underside of the floor may not be flat.
Regarding aesthetics, I'm not convinced we're seeing styling here, v. aero optimization. So, I think my initial reaction was wrong. The rear wings are an implementation of an F1 exploratory study done years ago to reduce wake turbulence. Some of you may remember the "centerline downwash" concept the FIA proposed in 2005. It should be no surprise that an FIA driven spec-series would implement its previous research--including the halo.
The angled inboard RW endplates serve the function of a shark fin.
The diamond-shaped chassis is hiding the side impact structures behind generous leading/trailing edges. Note the diamond is widest approximately in the same location as to where the previous FE chassis located its side crash structures--either side of the cockpit, also as in F1.
The front wing follows the general F1 2009 concept, like the front of the floor. The wheels pontoons are pretty basic aerodynamics--leading and trailing edges.
Can any features of this car can be called 'styling' in the sense of arbitrary, meaningless shapes?
"Any sufficiently advanced technology is indistinguishable from magic." Or in the context at-hand, "Any sufficiently sophisticated engineering exercise is indistinguishable from styling."